CONTROLLABILITY RESULTS FOR SOBOLEV TYPE ψ-HILFER INTEGRO-DIFFERENTIAL EQUATIONS IN HILBERT SPACE

被引：7
|
作者：
Bouacida, Ichrak [1 ]
Kerboua, Mourad [1 ]
Segni, Sami [1 ]
机构：
[1] Lab Math Appliquees & Modelisat, Univ 8 Mai 1945 Guelma,401, Guelma 24000, Algeria
来源：
EVOLUTION EQUATIONS AND CONTROL THEORY | 2023年 / 12卷 / 01期
关键词：
Approximate controllability; fractional Sobolev type integro-differential equations; psi-Hilfer fractional derivative; mild solution; fixed point theorem; nonlocal condition; APPROXIMATE CONTROLLABILITY; DIFFERENTIAL-EQUATIONS;
D O I：
10.3934/eect.2022028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the approximate controllability for Sobolev type psi-Hilfer fractional backward perturbed integro-differential equations with psi- fractional non local conditions in a Hilbert space are studied. A new set of sufficient conditions are established by using semigroup theory, psi-Hilfer fractional calculus and the Schauder's fixed point theorem. The results are obtained under the assumption that the associate backward psi- fractional linear system is approximately controllable. Finally, an example is given to illustrate the obtained results.
引用
收藏
页码：213 / 229
页数：17
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